{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:02.802063Z",
     "start_time": "2020-07-02T18:10:01.656911Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from porousmedialab.batch import Batch\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initiate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:02.806663Z",
     "start_time": "2020-07-02T18:10:02.804153Z"
    }
   },
   "outputs": [],
   "source": [
    "bl = Batch(tend = 30, dt = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add titrand in the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:02.814115Z",
     "start_time": "2020-07-02T18:10:02.809644Z"
    }
   },
   "outputs": [],
   "source": [
    "C_init=0.1/4\n",
    "bl.add_species(name='H3PO4', init_conc=C_init)\n",
    "bl.add_species(name='H2PO4', init_conc=C_init)\n",
    "bl.add_species(name='HPO4', init_conc=C_init)\n",
    "bl.add_species(name='PO4', init_conc=C_init)\n",
    "\n",
    "bl.add_acid(species=['H3PO4', 'H2PO4', 'HPO4', 'PO4'], pKa=[2.148, 7.198, 12.375])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add Titrant: $Na^+$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:02.819679Z",
     "start_time": "2020-07-02T18:10:02.816421Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.add_species(name='Na', init_conc=0)\n",
    "bl.add_species(name='NaOH', init_conc=0)\n",
    "bl.add_acid(species=['Na', 'NaOH'], charge=1, pKa=[13.8])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Slowly increase the concetration of titrant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:02.823955Z",
     "start_time": "2020-07-02T18:10:02.821316Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.dcdt['NaOH'] = '1e-2'  # units of mass per units of time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:04.045793Z",
     "start_time": "2020-07-02T18:10:02.825724Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:10:02\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:00m:01s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:10:04\n"
     ]
    }
   ],
   "source": [
    "bl.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:05.386347Z",
     "start_time": "2020-07-02T18:10:04.047494Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_profiles()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:05.783204Z",
     "start_time": "2020-07-02T18:10:05.389239Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_fractions()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:06.457540Z",
     "start_time": "2020-07-02T18:10:05.784815Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe678bc9310>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots(figsize=(5,3), dpi=200)\n",
    "ax2 = ax1.twinx()\n",
    "ax1.plot(bl.time, bl.pH['concentration'][0], 'k-.', lw=3, label='pH')\n",
    "ax2.plot(bl.time, np.log10(bl.H3PO4['concentration'][0]), c=sns.color_palette(\"deep\", 10)[0], label='$H_3PO_4$', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.H2PO4['concentration'][0]), c=sns.color_palette(\"deep\", 10)[1], label='$H_2PO_4$', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.HPO4['concentration'][0]), c=sns.color_palette(\"deep\", 10)[2],label='$HPO_4$', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.PO4['concentration'][0]), c=sns.color_palette(\"deep\", 10)[3],label='$PO_4$', lw=3)\n",
    "ax1.set_ylim(0,14)\n",
    "ax2.set_ylim(-4.5,-1)\n",
    "ax1.grid(lw=0.2)\n",
    "ax2.grid(lw=0.2)\n",
    "ax1.set_xlabel('Time, [T]')\n",
    "ax1.set_xlim(0,30)\n",
    "ax1.set_ylabel('pH')\n",
    "ax2.set_ylabel('log (C)')\n",
    "ax2.legend(loc=4, frameon=1)\n",
    "ax1.legend(loc=3, frameon=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "python3"
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   "name": "python3"
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  "language_info": {
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